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The angle between the line barr=(hati+ha...

The angle between the line `barr=(hati+hatj-hatk)+lamda(hati-hatj+hatk)` and the plane `barr.(hati-2hatj+3hatk)=5` is

A

`"sin"^(-1)((6)/sqrt(7))`

B

`"sin"^(-1)((6)/sqrt(21))`

C

`"sin"^(-1)((6)/sqrt(7))`

D

`"sin"^(-1)((7)/sqrt(6))`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. If the planes 3x-2y+2z+17=0 and 4x+3y-kz=25 are mutually perpendicul...

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  3. The angle between the line barr=(hati+hatj-hatk)+lamda(hati-hatj+hatk)...

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  4. The angle between the line barr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk...

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  5. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  6. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

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  7. Find the angle between the line (x-1)/(3)=(y+1)/(2)=(z+2)/(4) and the ...

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  8. The acute angle between the line (x+1)/(2) = (y)/(3)= (z-3)/(6) and th...

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  9. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

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  10. If the angle theta between Z-axis and the plane 3x-4y+5z+7=0 " is co...

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  11. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  12. The angle between the line (x)/(3)=(y)/(4)=(z)/(5) "and the plane " 2x...

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  13. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  14. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  15. The equation of plane passing through the point (1 ,2 ,3) and paralle...

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  16. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  17. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  18. If the plane passing through the origin and parallel to the line (x-1)...

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  19. If lamdax+4y+5z=7,4x+4lamday+10z-14=0 represent the same plane , then ...

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  20. If the line vecr=(hati-2hatj+3hatk)+lambda(2hati+hatj+2hatk) is parall...

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